Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps
This paper investigates the synchronization of Yin and Yang chaotic T-S fuzzy Henon maps via PDC controllers. Based on the Chinese philosophy, Yin is the decreasing, negative, historical, or feminine principle in nature, while Yang is the increasing, positive, contemporary, or masculine principle in...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/358201 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566949932957696 |
|---|---|
| author | Chun-Yen Ho Hsien-Keng Chen Zheng-Ming Ge |
| author_facet | Chun-Yen Ho Hsien-Keng Chen Zheng-Ming Ge |
| author_sort | Chun-Yen Ho |
| collection | DOAJ |
| description | This paper investigates the synchronization of Yin and Yang chaotic T-S fuzzy Henon maps via PDC controllers. Based on the Chinese philosophy, Yin is the decreasing, negative, historical, or feminine principle in nature, while Yang is the increasing, positive, contemporary, or masculine principle in nature. Yin and Yang are two fundamental opposites in Chinese philosophy. The Henon map is an invertible map; so the Henon maps with increasing and decreasing argument can be called the Yang and Yin Henon maps, respectively. Chaos synchronization of Yin and Yang T-S fuzzy Henon maps is achieved by PDC controllers. The design of PDC controllers is based on the linear invertible matrix theory. The T-S fuzzy model of Yin and Yang Henon maps and the design of PDC controllers are novel, and the simulation results show that the approach is effective. |
| format | Article |
| id | doaj-art-67761a9a566c444a962aa8fe05e0f9f5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-67761a9a566c444a962aa8fe05e0f9f52025-02-03T01:02:43ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/358201358201Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon MapsChun-Yen Ho0Hsien-Keng Chen1Zheng-Ming Ge2Department of Mechanical Engineering, National Chiao Tung University, Hsinchu 300, TaiwanDepartment of Mechanical Engineering, Hsiuping University of Science and Technology, Dali City, Taichung 412, TaiwanDepartment of Mechanical Engineering, National Chiao Tung University, Hsinchu 300, TaiwanThis paper investigates the synchronization of Yin and Yang chaotic T-S fuzzy Henon maps via PDC controllers. Based on the Chinese philosophy, Yin is the decreasing, negative, historical, or feminine principle in nature, while Yang is the increasing, positive, contemporary, or masculine principle in nature. Yin and Yang are two fundamental opposites in Chinese philosophy. The Henon map is an invertible map; so the Henon maps with increasing and decreasing argument can be called the Yang and Yin Henon maps, respectively. Chaos synchronization of Yin and Yang T-S fuzzy Henon maps is achieved by PDC controllers. The design of PDC controllers is based on the linear invertible matrix theory. The T-S fuzzy model of Yin and Yang Henon maps and the design of PDC controllers are novel, and the simulation results show that the approach is effective.http://dx.doi.org/10.1155/2012/358201 |
| spellingShingle | Chun-Yen Ho Hsien-Keng Chen Zheng-Ming Ge Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps Abstract and Applied Analysis |
| title | Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps |
| title_full | Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps |
| title_fullStr | Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps |
| title_full_unstemmed | Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps |
| title_short | Design of PDC Controllers by Matrix Reversibility for Synchronization of Yin and Yang Chaotic Takagi-Sugeno Fuzzy Henon Maps |
| title_sort | design of pdc controllers by matrix reversibility for synchronization of yin and yang chaotic takagi sugeno fuzzy henon maps |
| url | http://dx.doi.org/10.1155/2012/358201 |
| work_keys_str_mv | AT chunyenho designofpdccontrollersbymatrixreversibilityforsynchronizationofyinandyangchaotictakagisugenofuzzyhenonmaps AT hsienkengchen designofpdccontrollersbymatrixreversibilityforsynchronizationofyinandyangchaotictakagisugenofuzzyhenonmaps AT zhengmingge designofpdccontrollersbymatrixreversibilityforsynchronizationofyinandyangchaotictakagisugenofuzzyhenonmaps |